Answer:
3rd answer f(x) = 3(x-8)(x+2)
Step-by-step explanation:
The x-intercepts are the points at which the parabola intersects the x-axis.
Function y = a(x - r₁)(x - r₂) is in factored form, where r₁ and r₂ are x-intercepts so if r₁ = 8 and r₂ = -2 then
y = a (x-8)(x-(-2))=a(x-8)(x+2)
For y intercept plug in (0,-48) in equation and calculate a:
-48 = a (0-8)(0+2)
-48 = a(-8)(+2)
-48 = -16a divide by -16
a = 3
Function is y = 3(x-8)(x+2)
